共查询到20条相似文献,搜索用时 15 毫秒
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傅希林 《数学物理学报(B辑英文版)》1996,(1)
ACLASSOFSECONDORDERNEUTRALDIFFERENTIALINEQUALITIESWITHDISTRIBUTEDTYPEDEVIATINGARGUMENTS(傅希林)¥FuXilin(Dept.ofMath.,ShandongNor... 相似文献
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By introducing two integral operators and using the integral averaging technique, some new oscillation criteria are obtained for a class of high order neutral differential equation with continuous deviating arguments. These results are different from most known ones in the sense that they depend on the information only on a sequence of subintervals of [t0,∞), rather than on the whole half-line. 相似文献
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GuanXinping(关新平);YangJun(杨军);&LiuWenyuan(刘文远)(NortheastHeavyMachineryinstitute,东北重型机学院,邮编:161042)Abstract:Thispaperdiscussest... 相似文献
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This paper is concerned with the following nonlinear delay differential equation with nonlinear neutral term[h(t)(y(t) +φ(t,y(τ(t)))']' + q(t)f(y(g(t))) = 0. An oscillation criterion for the above equation is obtained. 相似文献
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Huang Xianyong 《Annals of Differential Equations》2007,23(1):26-34
By using the integral averaging technique, oscillating criteria for certain even order neutral differential equation with deviating arguments are established. These results extend some known oscillation criteria due to Xu and Xia. 相似文献
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考虑二阶中立型时滞微分方程[a(t)|(x(t) p(t)x(t-τ))′|^α-1(x(t) p(t)x(t-τ))′]′ f(t,x(t-σ))=0(E)其中α,τ,σ是非负常数,a(t),p(t)∈C([t0,∞),R),f(t,x)∈C(R,R)。建立了方程(E)的一些新的振动条件。 相似文献
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1IntroductionThepurposeofthispaperistoextendsomeoscilationresultsofthepapers[1,2]totheneutralhyperbolicdiferentialequationoft... 相似文献
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Li Fumei 《Annals of Differential Equations》2005,21(3):317-320
In this paper, we are concerned with the second order neutral difference equation with continuous variable. Using the integral transformation and generalized Riccati transformation, we obtain some oscillation criteria. 相似文献
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Consider the nonlinear neutral delay differential equationwhere P, Q ∈ C([t0,∞),R), τ > 0, δ > 0. We obtain a linearized oscillation result by an associate linear equation in the case when liminfP(t) = p0 ∈[-1,0). 相似文献
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In this paper, a new sufficient condition for the oscillation of all solutions of first order neutral delay differential equations is obtained. Secondly, the result can also be extended to a general neutral differential equation, and many known results in the literatures are improved. 相似文献
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In this paper, we study two types of neutral functional differential equations with finite or unbounded distributed deviating arguments. By Banach contraction princi-ple, we obtain some sufficient conditions for the existence of positive solutions to such equations. 相似文献
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We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and extend some known results. 相似文献
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Zhu Xianyang Li Yongkun Lu Linghong 《Annals of Differential Equations》2006,22(1):119-126
By the methods of differential inequality and eigenvalue, we obtain several sufficient conditions for oscillation of solutions for higher-order impulsive hyperbolic system with distributed deviating arguments under Robin and Dirichlet boundary value conditions. 相似文献
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In this paper,we study one type of odd-order neutral delay differential equation. Suffcient conditions for the oscillation of every solution to this type of differential equation are given. 相似文献
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Liang Ruixi Peng Jun Shen Jianhua 《Annals of Differential Equations》2006,22(4):502-510
The boundedness of the every solution and the asymptotic behavior of all solutions of the nonlinear neutral delay differential equation [x(t) - P(t)x(t - t)]' Q1 (t)f(x{t-σ1))-Q2(t)f(x(t -σ2))=0,t≥t0 are investigated, whereτ,σ1,σ2∈(0,∞), P∈C([t0,∞),R), and Q1,Q2∈C([t0,∞),R), f∈C(R,R). The sufficient conditions obtained improve the existing results in the literatures. 相似文献